Please answer calculus question, thank you! ?

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1 Answer
Rhys
Jun 6, 2018

Shown below...

Explanation:

#int_1 ^5 f(x) dx = int_1 ^2 f(x) dx + int_2 ^5 f(x) dx #

#=> 5 = int_1 ^2 f(x) dx -2 #

#=> int_1 ^2 f(x) dx = 7 #

#int e^(2kx) dx#

#u = 2kx #

#du = 2k dx #

#=> 1/(2k) du = dx #

#=> 1/(2k) int e^ u du #

#=> 1/(2k) e^u + c #

#=> 1/(2k) e^(2kx) + c #

#c in RR #

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